Theorems · Theorem · ring theory
AddMonoidAlgebra.map_surjective
∀ {R : Type u_3} {S : Type u_4} {M : Type u_6} [inst : Semiring R] [inst_1 : Semiring S] (f : R →+ S),
Function.Surjective ⇑f → Function.Surjective (AddMonoidAlgebra.map f)AddMonoidAlgebra.map of an surjective function is surjective.
- Defined in
- Mathlib.Algebra.MonoidAlgebra.MapDomain
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Equiv.symmproof · cited by 3,681
- AddMonoidHomstatement and proof · cited by 3,230
- map_zeroproof · cited by 1,614
- AddMonoidAlgebrastatement and proof · cited by 649
- Finsupp.extproof · cited by 399
- AddMonoidAlgebra.coeffproof · cited by 365
- Finsupp.mapRangeproof · cited by 91
- AddMonoidAlgebra.extproof · cited by 90
- AddMonoidAlgebra.coeffEquivproof · cited by 22
- AddMonoidAlgebra.mapstatement and proof · cited by 21
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